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\b\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 Task Description\tab \tab DAY-2
\par \hich\af0\dbch\af17\loch\f0 IOI 2001
\par \hich\af0\dbch\af17\loch\f0 Tampere
\par \hich\af0\dbch\af17\loch\f0 Finland}{\tab \tab }{\b\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 score
\par }}{\footer \pard\plain \s20\ql \li0\ri0\widctlpar\brdrt\brdrs\brdrw10\brsp20 \tqc\tx4153\tqr\tx8306\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\field{\*\fldinst {\lang1035\langfe1033\dbch\af17\langnp1035 
\hich\af0\dbch\af17\loch\f0  DATE \\@ "dd.MM.yy" }}{\fldrslt {\lang1024\langfe1024\dbch\af17\noproof\langnp1035 \hich\af0\dbch\af17\loch\f0 18\hich\af0\dbch\af17\loch\f0 .\hich\af0\dbch\af17\loch\f0 07\hich\af0\dbch\af17\loch\f0 .
\hich\af0\dbch\af17\loch\f0 01}}}{\lang1035\langfe1033\langnp1035 \tab }{\b\lang1035\langfe1033\dbch\af17\langnp1035 \hich\af0\dbch\af17\loch\f0 Page }{\field{\*\fldinst {\cs22\b\dbch\af17 \hich\af0\dbch\af17\loch\f0  PAGE }}{\fldrslt {
\cs22\b\lang1024\langfe1024\dbch\af17\noproof \hich\af0\dbch\af17\loch\f0 1}}}{\cs22\b\dbch\af17 \hich\af0\dbch\af17\loch\f0  of }{\field{\*\fldinst {\cs22\b\dbch\af17 \hich\af0\dbch\af17\loch\f0  NUMPAGES }}{\fldrslt {
\cs22\b\lang1024\langfe1024\dbch\af17\noproof \hich\af0\dbch\af17\loch\f0 3}}}{\cs22 \tab }{\b\lang1035\langfe1033\dbch\af17\langnp1035 \hich\af0\dbch\af17\loch\f0 score
\par }}{\*\pnseclvl1\pnucrm\pnstart1\pnindent720\pnhang{\pntxta .}}{\*\pnseclvl2\pnucltr\pnstart1\pnindent720\pnhang{\pntxta .}}{\*\pnseclvl3\pndec\pnstart1\pnindent720\pnhang{\pntxta .}}{\*\pnseclvl4\pnlcltr\pnstart1\pnindent720\pnhang{\pntxta )}}
{\*\pnseclvl5\pndec\pnstart1\pnindent720\pnhang{\pntxtb (}{\pntxta )}}{\*\pnseclvl6\pnlcltr\pnstart1\pnindent720\pnhang{\pntxtb (}{\pntxta )}}{\*\pnseclvl7\pnlcrm\pnstart1\pnindent720\pnhang{\pntxtb (}{\pntxta )}}{\*\pnseclvl8
\pnlcltr\pnstart1\pnindent720\pnhang{\pntxtb (}{\pntxta )}}{\*\pnseclvl9\pnlcrm\pnstart1\pnindent720\pnhang{\pntxtb (}{\pntxta )}}\pard\plain \qc \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 
\fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs28 
\par }\pard \qc \li0\ri0\widctlpar\faauto\outlinelevel0\adjustright\rin0\lin0\itap0 {\b\fs30\dbch\af17 \hich\af0\dbch\af17\loch\f0 Score
\par }\pard \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs28 
\par }\pard\plain \s1\ql \li0\ri0\keepn\widctlpar\faauto\outlinelevel0\adjustright\rin0\lin0\itap0 \b\fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\dbch\af17 \hich\af0\dbch\af17\loch\f0 PROBLEM
\par }\pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs24 
\par }\pard \qj \li0\ri0\nowidctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 Score is a \hich\af0\dbch\af17\loch\f0 board \hich\af0\dbch\af17\loch\f0 game for two players\hich\af0\dbch\af17\loch\f0 
 who move the same token from position to position on the board\hich\af0\dbch\af17\loch\f0 . The board\hich\af0\dbch\af17\loch\f0  has\hich\af0\dbch\af17\loch\f0  }{\i\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 N}{\fs24\dbch\af17 
\hich\af0\dbch\af17\loch\f0  positions\hich\af0\dbch\af17\loch\f0 , numbered \hich\af0\dbch\af17\loch\f0 1 through }{\i\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 N}{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 ,\hich\af0\dbch\af17\loch\f0  and 
\hich\af0\dbch\af17\loch\f0 a set of \hich\af0\dbch\af17\loch\f0 arrows. Each arrow\hich\af0\dbch\af17\loch\f0  goes from one position to an\hich\af0\dbch\af17\loch\f0 other\hich\af0\dbch\af17\loch\f0 . Each position is owned by
\hich\af0\dbch\af17\loch\f0  \hich\af0\dbch\af17\loch\f0 one \hich\af0\dbch\af17\loch\f0 player or the other\hich\af0\dbch\af17\loch\f0 , whom we call the owner of that position. In addition, each position has a positive value. All values are different. 
\hich\af0\dbch\af17\loch\f0 P\hich\af0\dbch\af17\loch\f0 osition 1\hich\af0\dbch\af17\loch\f0  is the starting position. Initially, both players have a score 0. 
\par 
\par \hich\af0\dbch\af17\loch\f0 The game is played as follo\hich\af0\dbch\af17\loch\f0 ws. We denote the current \hich\af0\dbch\af17\loch\f0 token \hich\af0\dbch\af17\loch\f0 position at the beginning of the move by }{\i\fs24\dbch\af17 
\hich\af0\dbch\af17\loch\f0 C}{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 . At\hich\af0\dbch\af17\loch\f0  the beginning\hich\af0\dbch\af17\loch\f0  of the game\hich\af0\dbch\af17\loch\f0 , }{\i\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 C}{
\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0  is \hich\af0\dbch\af17\loch\f0 position\hich\af0\dbch\af17\loch\f0  1\hich\af0\dbch\af17\loch\f0 . A move of the game consists of the following operations: 
\par {\pntext\pard\plain\dbch\af17 \hich\af0\dbch\af17\loch\f0 1.\tab}}\pard \qj \fi-360\li360\ri0\nowidctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls32\pnrnot0\pndec\pnstart1\pnindent360\pnsp120\pnhang{\pntxta .}}\faauto\ls32\adjustright\rin0\lin360\itap0 {
\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 If the value of }{\i\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 C}{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0  is larger than the current score of the owner of }{\i\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 C}
{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 , then the\hich\af0\dbch\af17\loch\f0  value of }{\i\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 C}{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0  becomes the new score for the owner of }{\i\fs24\dbch\af17 
\hich\af0\dbch\af17\loch\f0 C}{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 . Otherwise, the score of the owner of }{\i\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 C}{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 
 remains the same. The score of the other player does not change\hich\af0\dbch\af17\loch\f0  in either case\hich\af0\dbch\af17\loch\f0 .
\par {\pntext\pard\plain\dbch\af17 \hich\af0\dbch\af17\loch\f0 2.\tab}}\pard \qj \fi-360\li360\ri0\nowidctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls32\pnrnot0\pndec\pnstart1\pnindent360\pnsp120\pnhang{\pntxta .}}\faauto\ls32\adjustright\rin0\lin360\itap0 {
\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 After this, the owner of }{\i\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 C}{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0  chooses one of the arrows out of the current \hich\af0\dbch\af17\loch\f0 token 
\hich\af0\dbch\af17\loch\f0 position and the desti\hich\af0\dbch\af17\loch\f0 nation of the arrow becomes the new current \hich\af0\dbch\af17\loch\f0 token \hich\af0\dbch\af17\loch\f0 position.\hich\af0\dbch\af17\loch\f0  \hich\af0\dbch\af17\loch\f0 
Notice that \hich\af0\dbch\af17\loch\f0 a player may m\hich\af0\dbch\af17\loch\f0 ake several consecutive moves.\hich\af0\dbch\af17\loch\f0   
\par }\pard \qj \li0\ri0\nowidctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 The game ends \hich\af0\dbch\af17\loch\f0 after \hich\af0\dbch\af17\loch\f0 the token is returned to the starting \hich\af0\dbch\af17\loch\f0 
position. The winner is the player with the higher score when the game ends.
\par }{\fs24 
\par }{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 T\hich\af0\dbch\af17\loch\f0 he arrows are always arranged so that\hich\af0\dbch\af17\loch\f0  \hich\af0\dbch\af17\loch\f0 the \hich\af0\dbch\af17\loch\f0 following conditions hold\hich\af0\dbch\af17\loch\f0 :

\par 
\par {\listtext\pard\plain\s21 \dbch\af17 \hich\af0\dbch\af17\loch\f0 -\tab}}\pard\plain \s21\qj \fi-360\li720\ri0\nowidctlpar\jclisttab\tx720\faauto\ls38\adjustright\rin0\lin720\itap0 \fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\dbch\af17 
\hich\af0\dbch\af17\loch\f0 It i\hich\af0\dbch\af17\loch\f0 s always possible to choose an arrow out of the current \hich\af0\dbch\af17\loch\f0 token \hich\af0\dbch\af17\loch\f0 position. 
\par {\listtext\pard\plain\s21 \dbch\af17 \hich\af0\dbch\af17\loch\f0 -\tab}\hich\af0\dbch\af17\loch\f0 Each position }{\i\dbch\af17 \hich\af0\dbch\af17\loch\f0 P}{\dbch\af17 \hich\af0\dbch\af17\loch\f0  is reachable from the starting 
\hich\af0\dbch\af17\loch\f0 position, that is, there is\hich\af0\dbch\af17\loch\f0  a sequence of arrows from the starting position to }{\i\dbch\af17 \hich\af0\dbch\af17\loch\f0 P}{\dbch\af17 \hich\af0\dbch\af17\loch\f0 . 
\par {\listtext\pard\plain\s21 \dbch\af17 \hich\af0\dbch\af17\loch\f0 -\tab}\hich\af0\dbch\af17\loch\f0 The game is \hich\af0\dbch\af17\loch\f0 guaranteed to end\hich\af0\dbch\af17\loch\f0  after a finite number of moves\hich\af0\dbch\af17\loch\f0 . 
\par }\pard\plain \qj \li0\ri0\nowidctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs24\dbch\af17 
\par \hich\af0\dbch\af17\loch\f0 Write a pr\hich\af0\dbch\af17\loch\f0 ogram, which plays this game\hich\af0\dbch\af17\loch\f0  and wins. All the games your program is made to play in evaluation are such\hich\af0\dbch\af17\loch\f0  that it is possible to win
\hich\af0\dbch\af17\loch\f0 , whether or not you move first. The opponent in evaluation plays optimally, that is, once given a chance, it will win t\hich\af0\dbch\af17\loch\f0 he game and your program will lose. 
\par 
\par }\pard \qj \li0\ri0\nowidctlpar\faauto\outlinelevel0\adjustright\rin0\lin0\itap0 {\b\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 INPUT AND OUTPUT
\par }\pard \qj \li0\ri0\nowidctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24 
\par }\pard \qj \li0\ri0\widctlpar\faauto\outlinelevel0\adjustright\rin0\lin0\itap0 {\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 
Your program reads input from standard input and writes output to standard output. Your program is Player 1 and the opponent is Player\hich\af4\dbch\af17\loch\f4 
 2. When your program is started, it should first read the following input from standard input. 
\par }\pard \qj \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24 
\par }{\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 The first line contains one integer: the number of positions }{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 N}{\fs24\loch\af4\hich\af4\dbch\af17 
\hich\af4\dbch\af17\loch\f4 , 1}{\fs24 {\field{\*\fldinst SYMBOL 163 \\f "Symbol" \\s 12}{\fldrslt\f3\fs24}}}{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 N}{\fs24 {\field{\*\fldinst SYMBOL 163 \\f "Symbol" \\s 12}{\fldrslt\f3\fs24}}}{
\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 1000. \hich\af4\dbch\af17\loch\f4 The following\hich\af4\dbch\af17\loch\f4  }{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 N}{\fs24\loch\af4\hich\af4\dbch\af17 
\hich\af4\dbch\af17\loch\f4  lines \hich\af4\dbch\af17\loch\f4 each \hich\af4\dbch\af17\loch\f4 contain\hich\af4\dbch\af17\loch\f4  }{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 N}{\fs24\loch\af4\hich\af4\dbch\af17 
\hich\af4\dbch\af17\loch\f4  integers \hich\af4\dbch\af17\loch\f4 with \hich\af4\dbch\af17\loch\f4 information about the arrows. If there is an arrow from position }{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 i}{
\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4  to position }{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 j}{\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 , then the }{\i\fs24\loch\af4\hich\af4\dbch\af17 
\hich\af4\dbch\af17\loch\f4 j}{\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 th number on the }{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 i}{\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 th line
\hich\af4\dbch\af17\loch\f4  of these }{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 N}{\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4  lines\hich\af4\dbch\af17\loch\f4  is 1, otherwise it is 0.
\par 
\par \hich\af4\dbch\af17\loch\f4 The next line contai\hich\af4\dbch\af17\loch\f4 ns }{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 N}{\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 
 integers: the owners of the positions. If the position }{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 i}{\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4  is owned by Player 1\hich\af4\dbch\af17\loch\f4  (you)
\hich\af4\dbch\af17\loch\f4 , then the }{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 i}{\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 th integer is 1, otherwise the }{\i\fs24\loch\af4\hich\af4\dbch\af17 
\hich\af4\dbch\af17\loch\f4 i}{\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 th integer is 2.
\par 
\par \hich\af4\dbch\af17\loch\f4 The next line contains }{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 N}{\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4  integers, the values of the positions. If the }{
\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 i}{\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 th integer is }{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 j}{\fs24\loch\af4\hich\af4\dbch\af17 
\hich\af4\dbch\af17\loch\f4 , then the value of posit\hich\af4\dbch\af17\loch\f4 ion }{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 i}{\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4  is }{
\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 j}{\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 . For the values }{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 j}{\fs24\loch\af4\hich\af4\dbch\af17 
\hich\af4\dbch\af17\loch\f4  of positions it holds that 1}{\fs24 {\field{\*\fldinst SYMBOL 163 \\f "Symbol" \\s 12}{\fldrslt\f3\fs24}}}{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 j}{\fs24 {\field{\*\fldinst SYMBOL 163 \\f "Symbol"
 \\s 12}{\fldrslt\f3\fs24}}}{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 N}{\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4  and all values are different. 
\par }{\fs24 
\par }{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 After this, the game starts with the current \hich\af0\dbch\af17\loch\f0 token \hich\af0\dbch\af17\loch\f0 position being 1. }{\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 
Your program should play as follows\hich\af4\dbch\af17\loch\f4 , and exit when the token\hich\af4\dbch\af17\loch\f4  return\hich\af4\dbch\af17\loch\f4 s\hich\af4\dbch\af17\loch\f4  to position\hich\af4\dbch\af17\loch\f4  \hich\af4\dbch\af17\loch\f4 1
\hich\af4\dbch\af17\loch\f4 :
\par 
\par {\pntext\pard\plain\loch\af3\hich\af3\dbch\af17 \loch\af3\dbch\af17\hich\f3 \'b7\tab}}\pard \qj \fi-360\li360\ri0\widctlpar\jclisttab\tx360{\*\pn \pnlvlblt\ilvl0\ls35\pnrnot0\pnf3\pnstart1\pnindent360\pnsp120\pnhang{\pntxtb \'b7}}
\faauto\ls35\adjustright\rin0\lin360\itap0 {\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 If it is your program\hich\f4 \rquote \loch\f4 s turn to move, then your program should write the number of the next position }{
\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 P}{\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 , 1}{\fs24 {\field{\*\fldinst SYMBOL 163 \\f "Symbol" \\s 12}{\fldrslt\f3\fs24}}}{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 
 }{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 P}{\fs24 {\field{\*\fldinst SYMBOL 163 \\f "Symbol" \\s 12}{\fldrslt\f3\fs24}}}{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 N}{\fs24\loch\af4\hich\af4\dbch\af17 
\hich\af4\dbch\af17\loch\f4 , to standard output
\par {\pntext\pard\plain\loch\af3\hich\af3\dbch\af17 \loch\af3\dbch\af17\hich\f3 \'b7\tab}}\pard \qj \fi-360\li360\ri0\widctlpar\jclisttab\tx360{\*\pn \pnlvlblt\ilvl0\ls35\pnrnot0\pnf3\pnstart1\pnindent360\pnsp120\pnhang{\pntxtb \'b7}}
\faauto\ls35\adjustright\rin0\lin360\itap0 {\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 If it is your program\hich\f4 \rquote \loch\f4 s opponent\hich\f4 \rquote \loch\f4 s turn to move, then your p\hich\af4\dbch\af17\loch\f4 
rogram should read the number of the next position P, 1}{\fs24 {\field{\*\fldinst SYMBOL 163 \\f "Symbol" \\s 12}{\fldrslt\f3\fs24}}}{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 P}{\fs24 {\field{\*\fldinst SYMBOL 163 \\f "Symbol"
 \\s 12}{\fldrslt\f3\fs24}}}{\i\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 N}{\fs24\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 , from standard input.
\par }\pard \qj \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24 
\par }\pard\plain \s21\qj \li0\ri0\widctlpar\faauto\outlinelevel0\adjustright\rin0\lin0\itap0 \fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\dbch\af17 \hich\af0\dbch\af17\loch\f0 Consider\hich\af0\dbch\af17\loch\f0  the following example. The board
\hich\af0\dbch\af17\loch\f0  is represented in Figure 1. The positions marked with a circle bel\hich\af0\dbch\af17\loch\f0 
ong to Player 1 and the ones marked with a square belong to Player 2. Each position has its value drawn in the square or circle, and the positions number next to the square or circle. A game being played is represented below.
\par }\pard\plain \ql \li0\ri0\widctlpar\faauto\outlinelevel0\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs24 
\par 
\par }{\lang1024\langfe1024\noproof {\shp{\*\shpinst\shpleft2371\shptop106\shpright2859\shpbottom594\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz14\shplid1027
{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lTxid}{\sv 65536}}{\sp{\sn hspNext}{\sv 1027}}{\sp{\sn fAutoTextMargin}{\sv 0}}
{\sp{\sn fRotateText}{\sv 0}}{\sp{\sn fFitShapeToText}{\sv 0}}{\sp{\sn fFitTextToShape}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}{\sp{\sn lineEndArrowLength}{\sv 0}}
{\sp{\sn fLine}{\sv 0}}{\sp{\sn fHitTestLine}{\sv 1}}{\sp{\sn lineFillShape}{\sv 1}}{\sp{\sn fShadow}{\sv 0}}{\sp{\sn fshadowObscured}{\sv 0}}{\sp{\sn f3D}{\sv 0}}{\sp{\sn fc3DMetallic}{\sv 0}}{\sp{\sn fc3DUseExtrusionColor}{\sv 0}}
{\sp{\sn fc3DLightFace}{\sv 1}}{\sp{\sn fc3DConstrainRotation}{\sv 1}}{\sp{\sn fc3DRotationCenterAuto}{\sv 0}}{\sp{\sn fc3DParallel}{\sv 1}}{\sp{\sn fc3DKeyHarsh}{\sv 1}}{\sp{\sn fc3DFillHarsh}{\sv 0}}{\sp{\sn fCalloutMinusX}{\sv 0}}
{\sp{\sn fCalloutMinusY}{\sv 0}}{\sp{\sn fCalloutDropAuto}{\sv 0}}{\sp{\sn fCalloutLengthSpecified}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}{\shptxt \pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 
\fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs24\lang1035\langfe1033\loch\af2\hich\af2\dbch\af17\langnp1035 \hich\af2\dbch\af17\loch\f2 4
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8206\dptxbx\dptxlrtb{\dptxbxtext\pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {
\fs24\lang1035\langfe1033\loch\af2\hich\af2\dbch\af17\langnp1035 \hich\af2\dbch\af17\loch\f2 4
\par }}\dpx2371\dpy106\dpxsize488\dpysize488\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinehollow}}}
{\shp{\*\shpinst\shpleft627\shptop10\shpright1115\shpbottom498\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz9\shplid1028{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn lTxid}{\sv 131072}}{\sp{\sn hspNext}{\sv 1028}}{\sp{\sn fAutoTextMargin}{\sv 0}}{\sp{\sn fRotateText}{\sv 0}}{\sp{\sn fFitShapeToText}{\sv 0}}{\sp{\sn fFitTextToShape}{\sv 0}}
{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fHitTestLine}{\sv 1}}{\sp{\sn lineFillShape}{\sv 1}}
{\sp{\sn fShadow}{\sv 0}}{\sp{\sn fshadowObscured}{\sv 0}}{\sp{\sn f3D}{\sv 0}}{\sp{\sn fc3DMetallic}{\sv 0}}{\sp{\sn fc3DUseExtrusionColor}{\sv 0}}{\sp{\sn fc3DLightFace}{\sv 1}}{\sp{\sn fc3DConstrainRotation}{\sv 1}}
{\sp{\sn fc3DRotationCenterAuto}{\sv 0}}{\sp{\sn fc3DParallel}{\sv 1}}{\sp{\sn fc3DKeyHarsh}{\sv 1}}{\sp{\sn fc3DFillHarsh}{\sv 0}}{\sp{\sn fCalloutMinusX}{\sv 0}}{\sp{\sn fCalloutMinusY}{\sv 0}}{\sp{\sn fCalloutDropAuto}{\sv 0}}
{\sp{\sn fCalloutLengthSpecified}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}{\shptxt \pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {
\fs24\lang1035\langfe1033\loch\af2\hich\af2\dbch\af17\langnp1035 \hich\af2\dbch\af17\loch\f2 1
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8201\dptxbx\dptxlrtb{\dptxbxtext\pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {
\fs24\lang1035\langfe1033\loch\af2\hich\af2\dbch\af17\langnp1035 \hich\af2\dbch\af17\loch\f2 1
\par }}\dpx627\dpy10\dpxsize488\dpysize488\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinehollow}}}}{\fs24 
\par }{\lang1024\langfe1024\noproof {\shp{\*\shpinst\shpleft771\shptop70\shpright1259\shpbottom558\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz10\shplid1029
{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn lTxid}{\sv 196608}}{\sp{\sn hspNext}{\sv 1029}}{\sp{\sn fAutoTextMargin}{\sv 0}}
{\sp{\sn fRotateText}{\sv 0}}{\sp{\sn fFitShapeToText}{\sv 0}}{\sp{\sn fFitTextToShape}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}{\sp{\sn lineEndArrowLength}{\sv 0}}
{\sp{\sn fLine}{\sv 0}}{\sp{\sn fHitTestLine}{\sv 1}}{\sp{\sn lineFillShape}{\sv 1}}{\sp{\sn fShadow}{\sv 0}}{\sp{\sn fshadowObscured}{\sv 0}}{\sp{\sn f3D}{\sv 0}}{\sp{\sn fc3DMetallic}{\sv 0}}{\sp{\sn fc3DUseExtrusionColor}{\sv 0}}
{\sp{\sn fc3DLightFace}{\sv 1}}{\sp{\sn fc3DConstrainRotation}{\sv 1}}{\sp{\sn fc3DRotationCenterAuto}{\sv 0}}{\sp{\sn fc3DParallel}{\sv 1}}{\sp{\sn fc3DKeyHarsh}{\sv 1}}{\sp{\sn fc3DFillHarsh}{\sv 0}}{\sp{\sn fCalloutMinusX}{\sv 0}}
{\sp{\sn fCalloutMinusY}{\sv 0}}{\sp{\sn fCalloutDropAuto}{\sv 0}}{\sp{\sn fCalloutLengthSpecified}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}{\shptxt \pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 
\fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs24\lang1035\langfe1033\loch\af2\hich\af2\dbch\af17\langnp1035 \hich\af2\dbch\af17\loch\f2 1
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8202\dptxbx\dptxlrtb{\dptxbxtext\pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {
\fs24\lang1035\langfe1033\loch\af2\hich\af2\dbch\af17\langnp1035 \hich\af2\dbch\af17\loch\f2 1
\par }}\dpx771\dpy70\dpxsize488\dpysize488\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinehollow}}}
{\shp{\*\shpinst\shpleft2707\shptop70\shpright3195\shpbottom558\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz13\shplid1030{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn lTxid}{\sv 262144}}{\sp{\sn hspNext}{\sv 1030}}{\sp{\sn fAutoTextMargin}{\sv 0}}{\sp{\sn fRotateText}{\sv 0}}{\sp{\sn fFitShapeToText}{\sv 0}}{\sp{\sn fFitTextToShape}{\sv 0}}
{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fHitTestLine}{\sv 1}}{\sp{\sn lineFillShape}{\sv 1}}
{\sp{\sn fShadow}{\sv 0}}{\sp{\sn fshadowObscured}{\sv 0}}{\sp{\sn f3D}{\sv 0}}{\sp{\sn fc3DMetallic}{\sv 0}}{\sp{\sn fc3DUseExtrusionColor}{\sv 0}}{\sp{\sn fc3DLightFace}{\sv 1}}{\sp{\sn fc3DConstrainRotation}{\sv 1}}
{\sp{\sn fc3DRotationCenterAuto}{\sv 0}}{\sp{\sn fc3DParallel}{\sv 1}}{\sp{\sn fc3DKeyHarsh}{\sv 1}}{\sp{\sn fc3DFillHarsh}{\sv 0}}{\sp{\sn fCalloutMinusX}{\sv 0}}{\sp{\sn fCalloutMinusY}{\sv 0}}{\sp{\sn fCalloutDropAuto}{\sv 0}}
{\sp{\sn fCalloutLengthSpecified}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}{\shptxt \pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {
\fs24\lang1035\langfe1033\loch\af2\hich\af2\dbch\af17\langnp1035 \hich\af2\dbch\af17\loch\f2 2
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8205\dptxbx\dptxlrtb{\dptxbxtext\pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {
\fs24\lang1035\langfe1033\loch\af2\hich\af2\dbch\af17\langnp1035 \hich\af2\dbch\af17\loch\f2 2
\par }}\dpx2707\dpy70\dpxsize488\dpysize488\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinehollow}}}
{\shp{\*\shpinst\shpleft704\shptop19\shpright1248\shpbottom579\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz0\shplid1031{\sp{\sn shapeType}{\sv 3}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
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{\sp{\sn fc3DRotationCenterAuto}{\sv 0}}{\sp{\sn fc3DParallel}{\sv 1}}{\sp{\sn fc3DKeyHarsh}{\sv 1}}{\sp{\sn fc3DFillHarsh}{\sv 0}}{\sp{\sn fCalloutMinusX}{\sv 0}}{\sp{\sn fCalloutMinusY}{\sv 0}}{\sp{\sn fCalloutDropAuto}{\sv 0}}
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{\shp{\*\shpinst\shpleft2688\shptop19\shpright3248\shpbottom547\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz2\shplid1032{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
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{\sp{\sn fCalloutMinusY}{\sv 0}}{\sp{\sn fCalloutDropAuto}{\sv 0}}{\sp{\sn fCalloutLengthSpecified}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8196\dpline\dpptx1424\dppty0\dpptx0\dppty0
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{\sp{\sn fAutoTextMargin}{\sv 0}}{\sp{\sn fRotateText}{\sv 0}}{\sp{\sn fFitShapeToText}{\sv 0}}{\sp{\sn fFitTextToShape}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}
{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowhead}{\sv 2}}{\sp{\sn lineEndArrowWidth}{\sv 0}}{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn fHitTestLine}{\sv 1}}{\sp{\sn lineFillShape}{\sv 1}}
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{\sp{\sn fc3DRotationCenterAuto}{\sv 0}}{\sp{\sn fc3DParallel}{\sv 1}}{\sp{\sn fc3DKeyHarsh}{\sv 1}}{\sp{\sn fc3DFillHarsh}{\sv 0}}{\sp{\sn fCalloutMinusX}{\sv 0}}{\sp{\sn fCalloutMinusY}{\sv 0}}{\sp{\sn fCalloutDropAuto}{\sv 0}}
{\sp{\sn fCalloutLengthSpecified}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8200\dpline\dpptx1472\dppty0\dpptx0\dppty1184\dpx1232\dpy-5\dpxsize1472\dpysize1184
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{\sp{\sn fLine}{\sv 1}}{\sp{\sn fHitTestLine}{\sv 1}}{\sp{\sn lineFillShape}{\sv 1}}{\sp{\sn fShadow}{\sv 0}}{\sp{\sn fshadowObscured}{\sv 0}}{\sp{\sn f3D}{\sv 0}}{\sp{\sn fc3DMetallic}{\sv 0}}{\sp{\sn fc3DUseExtrusionColor}{\sv 0}}
{\sp{\sn fc3DLightFace}{\sv 1}}{\sp{\sn fc3DConstrainRotation}{\sv 1}}{\sp{\sn fc3DRotationCenterAuto}{\sv 0}}{\sp{\sn fc3DParallel}{\sv 1}}{\sp{\sn fc3DKeyHarsh}{\sv 1}}{\sp{\sn fc3DFillHarsh}{\sv 0}}{\sp{\sn fCalloutMinusX}{\sv 0}}
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{\sp{\sn fFitTextToShape}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowhead}{\sv 2}}{\sp{\sn lineEndArrowWidth}{\sv 0}}{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 1}}
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\par 
\par }{\lang1024\langfe1024\noproof {\shp{\*\shpinst\shpleft547\shptop230\shpright1035\shpbottom718\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz15\shplid1037
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{\sp{\sn fc3DLightFace}{\sv 1}}{\sp{\sn fc3DConstrainRotation}{\sv 1}}{\sp{\sn fc3DRotationCenterAuto}{\sv 0}}{\sp{\sn fc3DParallel}{\sv 1}}{\sp{\sn fc3DKeyHarsh}{\sv 1}}{\sp{\sn fc3DFillHarsh}{\sv 0}}{\sp{\sn fCalloutMinusX}{\sv 0}}
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{\sp{\sn fLine}{\sv 0}}{\sp{\sn fHitTestLine}{\sv 1}}{\sp{\sn lineFillShape}{\sv 1}}{\sp{\sn fShadow}{\sv 0}}{\sp{\sn fshadowObscured}{\sv 0}}{\sp{\sn f3D}{\sv 0}}{\sp{\sn fc3DMetallic}{\sv 0}}{\sp{\sn fc3DUseExtrusionColor}{\sv 0}}
{\sp{\sn fc3DLightFace}{\sv 1}}{\sp{\sn fc3DConstrainRotation}{\sv 1}}{\sp{\sn fc3DRotationCenterAuto}{\sv 0}}{\sp{\sn fc3DParallel}{\sv 1}}{\sp{\sn fc3DKeyHarsh}{\sv 1}}{\sp{\sn fc3DFillHarsh}{\sv 0}}{\sp{\sn fCalloutMinusX}{\sv 0}}
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{\shp{\*\shpinst\shpleft720\shptop239\shpright1264\shpbottom799\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz3\shplid1039{\sp{\sn shapeType}{\sv 3}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn fAutoTextMargin}{\sv 0}}{\sp{\sn fRotateText}{\sv 0}}{\sp{\sn fFitShapeToText}{\sv 0}}{\sp{\sn fFitTextToShape}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn fHitTestLine}{\sv 1}}
{\sp{\sn lineFillShape}{\sv 1}}{\sp{\sn fShadow}{\sv 0}}{\sp{\sn fshadowObscured}{\sv 0}}{\sp{\sn f3D}{\sv 0}}{\sp{\sn fc3DMetallic}{\sv 0}}{\sp{\sn fc3DUseExtrusionColor}{\sv 0}}{\sp{\sn fc3DLightFace}{\sv 1}}{\sp{\sn fc3DConstrainRotation}{\sv 1}}
{\sp{\sn fc3DRotationCenterAuto}{\sv 0}}{\sp{\sn fc3DParallel}{\sv 1}}{\sp{\sn fc3DKeyHarsh}{\sv 1}}{\sp{\sn fc3DFillHarsh}{\sv 0}}{\sp{\sn fCalloutMinusX}{\sv 0}}{\sp{\sn fCalloutMinusY}{\sv 0}}{\sp{\sn fCalloutDropAuto}{\sv 0}}
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{\shp{\*\shpinst\shpleft2736\shptop255\shpright3296\shpbottom783\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz1\shplid1040{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
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{\sp{\sn lineFillShape}{\sv 1}}{\sp{\sn fShadow}{\sv 0}}{\sp{\sn fshadowObscured}{\sv 0}}{\sp{\sn f3D}{\sv 0}}{\sp{\sn fc3DMetallic}{\sv 0}}{\sp{\sn fc3DUseExtrusionColor}{\sv 0}}{\sp{\sn fc3DLightFace}{\sv 1}}{\sp{\sn fc3DConstrainRotation}{\sv 1}}
{\sp{\sn fc3DRotationCenterAuto}{\sv 0}}{\sp{\sn fc3DParallel}{\sv 1}}{\sp{\sn fc3DKeyHarsh}{\sv 1}}{\sp{\sn fc3DFillHarsh}{\sv 0}}{\sp{\sn fCalloutMinusX}{\sv 0}}{\sp{\sn fCalloutMinusY}{\sv 0}}{\sp{\sn fCalloutDropAuto}{\sv 0}}
{\sp{\sn fCalloutLengthSpecified}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8193\dprect\dpx2736\dpy255\dpxsize560\dpysize528
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\par }{\lang1024\langfe1024\noproof {\shp{\*\shpinst\shpleft803\shptop46\shpright1291\shpbottom534\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz11\shplid1041
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{\sp{\sn fRotateText}{\sv 0}}{\sp{\sn fFitShapeToText}{\sv 0}}{\sp{\sn fFitTextToShape}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}{\sp{\sn lineEndArrowLength}{\sv 0}}
{\sp{\sn fLine}{\sv 0}}{\sp{\sn fHitTestLine}{\sv 1}}{\sp{\sn lineFillShape}{\sv 1}}{\sp{\sn fShadow}{\sv 0}}{\sp{\sn fshadowObscured}{\sv 0}}{\sp{\sn f3D}{\sv 0}}{\sp{\sn fc3DMetallic}{\sv 0}}{\sp{\sn fc3DUseExtrusionColor}{\sv 0}}
{\sp{\sn fc3DLightFace}{\sv 1}}{\sp{\sn fc3DConstrainRotation}{\sv 1}}{\sp{\sn fc3DRotationCenterAuto}{\sv 0}}{\sp{\sn fc3DParallel}{\sv 1}}{\sp{\sn fc3DKeyHarsh}{\sv 1}}{\sp{\sn fc3DFillHarsh}{\sv 0}}{\sp{\sn fCalloutMinusX}{\sv 0}}
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{\shp{\*\shpinst\shpleft2755\shptop14\shpright3243\shpbottom502\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz12\shplid1042{\sp{\sn shapeType}{\sv 202}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn lTxid}{\sv 524288}}{\sp{\sn hspNext}{\sv 1042}}{\sp{\sn fAutoTextMargin}{\sv 0}}{\sp{\sn fRotateText}{\sv 0}}{\sp{\sn fFitShapeToText}{\sv 0}}{\sp{\sn fFitTextToShape}{\sv 0}}
{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fHitTestLine}{\sv 1}}{\sp{\sn lineFillShape}{\sv 1}}
{\sp{\sn fShadow}{\sv 0}}{\sp{\sn fshadowObscured}{\sv 0}}{\sp{\sn f3D}{\sv 0}}{\sp{\sn fc3DMetallic}{\sv 0}}{\sp{\sn fc3DUseExtrusionColor}{\sv 0}}{\sp{\sn fc3DLightFace}{\sv 1}}{\sp{\sn fc3DConstrainRotation}{\sv 1}}
{\sp{\sn fc3DRotationCenterAuto}{\sv 0}}{\sp{\sn fc3DParallel}{\sv 1}}{\sp{\sn fc3DKeyHarsh}{\sv 1}}{\sp{\sn fc3DFillHarsh}{\sv 0}}{\sp{\sn fCalloutMinusX}{\sv 0}}{\sp{\sn fCalloutMinusY}{\sv 0}}{\sp{\sn fCalloutDropAuto}{\sv 0}}
{\sp{\sn fCalloutLengthSpecified}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}{\shptxt \pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {
\fs24\lang1035\langfe1033\loch\af2\hich\af2\dbch\af17\langnp1035 \hich\af2\dbch\af17\loch\f2 4
\par }}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8204\dptxbx\dptxlrtb{\dptxbxtext\pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {
\fs24\lang1035\langfe1033\loch\af2\hich\af2\dbch\af17\langnp1035 \hich\af2\dbch\af17\loch\f2 4
\par }}\dpx2755\dpy14\dpxsize488\dpysize488\dpfillfgcr255\dpfillfgcg255\dpfillfgcb255\dpfillbgcr255\dpfillbgcg255\dpfillbgcb255\dpfillpat0\dplinehollow}}}
{\shp{\*\shpinst\shpleft1264\shptop235\shpright2736\shpbottom235\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz6\shplid1043{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}
{\sp{\sn fAutoTextMargin}{\sv 0}}{\sp{\sn fRotateText}{\sv 0}}{\sp{\sn fFitShapeToText}{\sv 0}}{\sp{\sn fFitTextToShape}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}
{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowhead}{\sv 2}}{\sp{\sn lineEndArrowWidth}{\sv 0}}{\sp{\sn lineEndArrowLength}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn fHitTestLine}{\sv 1}}{\sp{\sn lineFillShape}{\sv 1}}
{\sp{\sn fShadow}{\sv 0}}{\sp{\sn fshadowObscured}{\sv 0}}{\sp{\sn f3D}{\sv 0}}{\sp{\sn fc3DMetallic}{\sv 0}}{\sp{\sn fc3DUseExtrusionColor}{\sv 0}}{\sp{\sn fc3DLightFace}{\sv 1}}{\sp{\sn fc3DConstrainRotation}{\sv 1}}
{\sp{\sn fc3DRotationCenterAuto}{\sv 0}}{\sp{\sn fc3DParallel}{\sv 1}}{\sp{\sn fc3DKeyHarsh}{\sv 1}}{\sp{\sn fc3DFillHarsh}{\sv 0}}{\sp{\sn fCalloutMinusX}{\sv 0}}{\sp{\sn fCalloutMinusY}{\sv 0}}{\sp{\sn fCalloutDropAuto}{\sv 0}}
{\sp{\sn fCalloutLengthSpecified}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8198\dpline\dpptx0\dppty0\dpptx1472\dppty0\dpx1264\dpy235\dpxsize1472\dpysize0
\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\fs24 
\par 
\par 
\par 
\par }\pard \ql \li0\ri0\widctlpar\faauto\outlinelevel0\adjustright\rin0\lin0\itap0 {\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 Figure 1.
\par }\pard \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24 
\par }{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 stdin\tab \tab \tab stdout\tab \tab explanation
\par }{\lang1024\langfe1024\noproof {\shp{\*\shpinst\shpleft-12\shptop133\shpright6228\shpbottom133\shpfhdr0\shpbxcolumn\shpbxignore\shpbypara\shpbyignore\shpwr3\shpwrk0\shpfblwtxt0\shpz17\shplid1044
{\sp{\sn shapeType}{\sv 20}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fAutoTextMargin}{\sv 0}}{\sp{\sn fRotateText}{\sv 0}}{\sp{\sn fFitShapeToText}{\sv 0}}
{\sp{\sn fFitTextToShape}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn fFillOK}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineEndArrowWidth}{\sv 0}}{\sp{\sn lineEndArrowLength}{\sv 0}}
{\sp{\sn fArrowheadsOK}{\sv 1}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn fHitTestLine}{\sv 1}}{\sp{\sn lineFillShape}{\sv 1}}{\sp{\sn fShadow}{\sv 0}}{\sp{\sn fshadowObscured}{\sv 0}}
{\sp{\sn f3D}{\sv 0}}{\sp{\sn fc3DMetallic}{\sv 0}}{\sp{\sn fc3DUseExtrusionColor}{\sv 0}}{\sp{\sn fc3DLightFace}{\sv 1}}{\sp{\sn fc3DConstrainRotation}{\sv 1}}{\sp{\sn fc3DRotationCenterAuto}{\sv 0}}{\sp{\sn fc3DParallel}{\sv 1}}
{\sp{\sn fc3DKeyHarsh}{\sv 1}}{\sp{\sn fc3DFillHarsh}{\sv 0}}{\sp{\sn fCalloutMinusX}{\sv 0}}{\sp{\sn fCalloutMinusY}{\sv 0}}{\sp{\sn fCalloutDropAuto}{\sv 0}}{\sp{\sn fCalloutLengthSpecified}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 0}}
{\sp{\sn fLayoutInCell}{\sv 0}}}{\shprslt{\*\do\dobxcolumn\dobypara\dodhgt8209\dpline\dpptx0\dppty0\dpptx6240\dppty0\dpx-12\dpy133\dpxsize6240\dpysize0\dplinew15\dplinecor0\dplinecog0\dplinecob0}}}}{\fs24 
\par }{\fs24\loch\af2\hich\af2\dbch\af17 \hich\af2\dbch\af17\loch\f2 4\tab   \tab }{\fs24 \tab \tab \tab }{\i\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 N}{\fs24\dbch\af17 
\par }{\fs24\loch\af2\hich\af2\dbch\af17 \hich\af2\dbch\af17\loch\f2 0 1 0 0  \tab }{\fs24 \tab \tab \tab }{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 I\hich\af0\dbch\af17\loch\f0 nformation\hich\af0\dbch\af17\loch\f0  on\hich\af0\dbch\af17\loch\f0  arrows
\hich\af0\dbch\af17\loch\f0  from position 1
\par }{\fs24\loch\af2\hich\af2\dbch\af17 \hich\af2\dbch\af17\loch\f2 0 0 1 1\tab \tab \tab \tab }{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 Inf\hich\af0\dbch\af17\loch\f0 ormation\hich\af0\dbch\af17\loch\f0  \hich\af0\dbch\af17\loch\f0 on
\hich\af0\dbch\af17\loch\f0  arrows \hich\af0\dbch\af17\loch\f0 from position 2}{\fs24 
\par }{\fs24\loch\af2\hich\af2\dbch\af17 \hich\af2\dbch\af17\loch\f2 0 0 0 1\tab }{\fs24 \tab \tab \tab }{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 I\hich\af0\dbch\af17\loch\f0 nformation \hich\af0\dbch\af17\loch\f0 on\hich\af0\dbch\af17\loch\f0  arrows 
\hich\af0\dbch\af17\loch\f0 from position 3\hich\af0\dbch\af17\loch\f0  
\par }{\fs24\loch\af2\hich\af2\dbch\af17 \hich\af2\dbch\af17\loch\f2 1 0 0 0}{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0   \tab \tab \tab \tab \hich\af0\dbch\af17\loch\f0 I\hich\af0\dbch\af17\loch\f0 nformation\hich\af0\dbch\af17\loch\f0  
\hich\af0\dbch\af17\loch\f0 on\hich\af0\dbch\af17\loch\f0  arrows \hich\af0\dbch\af17\loch\f0 from position 4
\par }{\fs24\loch\af2\hich\af2\dbch\af17 \hich\af2\dbch\af17\loch\f2 1 1 2 2}{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0             \tab \tab \tab Owners of positions
\par }{\fs24\loch\af2\hich\af2\dbch\af17 \hich\af2\dbch\af17\loch\f2 1 3 4 2 \tab \tab \tab \tab }{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 Values of positions 
\par }{\fs24 \tab \tab \tab }{\fs24\loch\af2\hich\af2\dbch\af17 \hich\af2\dbch\af17\loch\f2 2}{\fs24 \tab \tab }{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 Player 1 moves.
\par \tab \tab \tab }{\fs24\loch\af2\hich\af2\dbch\af17 \hich\af2\dbch\af17\loch\f2 4}{\fs24 \tab \tab }{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 Player 1 moves.
\par }{\fs24\loch\af2\hich\af2\dbch\af17 \hich\af2\dbch\af17\loch\f2 1}{\fs24 \tab \tab \tab \tab \tab }{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 Player 2 moves to\hich\af0\dbch\af17\loch\f0  starting position \hich\f0 \endash \loch\f0  game ends.}{\fs24 

\par After the game, Player 1 has score 3 and Player 2 has score 2. Player 1 wins.
\par 
\par }\pard\plain \s2\ql \li0\ri0\keepn\widctlpar\faauto\outlinelevel1\adjustright\rin0\lin0\itap0 \b\fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 PROGRAMMING INSTRUCTIONS
\par }\pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs24 
\par }\pard \ql \li0\ri0\widctlpar\faauto\outlinelevel0\adjustright\rin0\lin0\itap0 {\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 In the examples below, }{\loch\af2\hich\af2\dbch\af17 \hich\af2\dbch\af17\loch\f2 tar\hich\af2\dbch\af17\loch\f2 get}{
\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0  is the integer variable for the position.
\par }\pard \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24 
\par }\pard\plain \s21\qj \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 
If you program in C++ and use iostreams, you should use the following implementation for reading standard input and writing to standard output:\tab 
\par }\pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs24 
\par }{\loch\af2\hich\af2\dbch\af17 \hich\af2\dbch\af17\loch\f2 cin>>target;
\par \hich\af2\dbch\af17\loch\f2 cout<<target<<endl<<flush; \tab 
\par }{\fs24 
\par }\pard\plain \s21\qj \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\dbch\af17 \hich\af0\dbch\af17\loch\f0 If you program in C \hich\af0\dbch\af17\loch\f0 
or C++ and use scanf and printf, you should use the following implementation for reading standard input and writing to standard output:\tab 
\par }\pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\fs24\loch\af2\hich\af2\dbch\af17 
\par }{\loch\af2\hich\af2\dbch\af17 \hich\af2\dbch\af17\loch\f2 scanf ("%d", &target);\tab \tab \tab 
\par \hich\af2\dbch\af17\loch\f2 printf("%d\\n",target); fflush (stdout);
\par }{\fs24 
\par }\pard\plain \s21\qj \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\loch\af4\hich\af4\dbch\af17 \hich\af4\dbch\af17\loch\f4 
If you program in Pascal, you should use the following implementation of reading standard input and writing to standard output:\tab \tab \tab 
\par }\pard\plain \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs20\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\i\fs24 
\par }{\loch\af2\hich\af2\dbch\af17 \hich\af2\dbch\af17\loch\f2 Readln(target);
\par \hich\af2\dbch\af17\loch\f2 Writeln(target);
\par }{\fs24 
\par 
\par }\pard \ql \li0\ri0\widctlpar\faauto\outlinelevel0\adjustright\rin0\lin0\itap0 {\b\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 TOOLS}{\fs24 
\par }\pard \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24 
\par }\pard \qj \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 You are given a program (}{\loch\af2\hich\af2\dbch\af17 \hich\af2\dbch\af17\loch\f2 score2}{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 
 on Linux, }{\loch\af2\hich\af2\dbch\af17 \hich\af2\dbch\af17\loch\f2 score2.exe}{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0  on Windows).\hich\af0\dbch\af17\loch\f0  T\hich\af0\dbch\af17\loch\f0 he program reads the description of the game from file }{
\loch\af2\hich\af2\dbch\af17 \hich\af2\dbch\af17\loch\f2 score.\hich\af2\dbch\af17\loch\f2 in}{\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0  in \hich\af0\dbch\af17\loch\f0 the \hich\af0\dbch\af17\loch\f0 format described on\hich\af0\dbch\af17\loch\f0 
 the previou\hich\af0\dbch\af17\loch\f0 s page.\hich\af0\dbch\af17\loch\f0  \hich\af0\dbch\af17\loch\f0 The program will write this information to standard output in the same format.\hich\af0\dbch\af17\loch\f0  T\hich\af0\dbch\af17\loch\f0 
his output can be used as an input for your program for test purposes.\hich\af0\dbch\af17\loch\f0  After that, the program plays with a random strategy, reading your programs moves from standard input and writing its own move\hich\af0\dbch\af17\loch\f0 
s to standard output.
\par }\pard \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24\dbch\af17 
\par }\pard \ql \li0\ri0\widctlpar\faauto\outlinelevel0\adjustright\rin0\lin0\itap0 {\b\fs24\dbch\af17 \hich\af0\dbch\af17\loch\f0 SCORING AND EVALUATION}{\fs24 
\par }\pard \ql \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 {\fs24 
\par }\pard\plain \s21\qj \li0\ri0\widctlpar\faauto\adjustright\rin0\lin0\itap0 \fs24\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\dbch\af17 \hich\af0\dbch\af17\loch\f0 
For a test case, if you win the game, you get full points, otherwise you get 0 points. In the evaluation, your program is first made to play \hich\af0\dbch\af17\loch\f0 against \hich\af0\dbch\af17\loch\f0 
another program with the time limit 1 second higher than the task ti\hich\af0\dbch\af17\loch\f0 
me limit. Your programs input and output are recorded. Then, your program is executed a second time with input directed from a file and the official evaluation execution time is recorded. Your program must produce the same output as in the first execution
\hich\af0\dbch\af17\loch\f0 .\hich\af0\dbch\af17\loch\f0  
\par }}